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Finding the Fourth Proportional to 275,207.04, 412,810.92 and 75,530.16

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Solution

The fourth proportional to 275,207.04, 412,810.92 and 75,530.16 is: 113,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,207.04 : 412,810.92 = 75,530.16 : x
  2. Step 2: Convert to fraction form
    275,207.04/412,810.92 = 75,530.16/x
  3. Step 3: Cross multiply
    275,207.04x = 412,810.92 × 75,530.16
  4. Step 4: Simplify right side
    275,207.04x = 31,179,674,837.35
  5. Step 5: Solve for x
    x = 31,179,674,837.35/275,207.04
  6. Step 6: Final answer
    x = 113,295.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.